A Functional Analysis Proof of the Existence of Haar Measure on Locally Compact Abelian Groups

@inproceedings{IZZO2011AFA,
  title={A Functional Analysis Proof of the Existence of Haar Measure on Locally Compact Abelian Groups},
  author={ALEXANDER J. IZZO},
  year={2011}
}
  • ALEXANDER J. IZZO
  • Published 2011
A simple proof of the existence of Haar measure on locally compact abelian groups is given. The proof uses the Markov-Kakutani fixed-point theorem. It is very well known that every locally compact group has a Haar measure and that the Haar measure is unique up to a positive multiplicative constant. Several different proofs have been given, all of them… CONTINUE READING